# The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides

^{2}= BC

^{2}+ CA

^{2},

### As may you have noticed the blue square area equals the sum of the red square area and the green square area

#### Start dragging the points A,B to see how the areas affected.

##### Also check the rearrangment proof animation to help you understand it.

A2

B2

C2

+ =### Some of real life applications to the theorem

To calculate the length of staircase required to reach a window To find the length of the longest item can be kept in your room. To find the steepness of the hills or mountains. To find the original height of a tree broken due to heavy rain and lying on itself. To determine heights and measurements in the construction sites.

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